Construct the system for a free cubic spline for the following data, and solve it using MATLAB to construct the polynomials. Write out the linear system, and the final si(x) polynomials. x -0.5 -0.25 0 f(x) -0.0247500 0.3349375 .1010000 1

Q: show that the boolean equations is equivalent to the answer

A: To show that the Boolean equation \( F(a, b, c) = a(b + c) \) is equivalent to the provided truth…

Q: Q1: Find the Laplace transform of: a) L {t sin3t} b) L {5et + cos³t} e) L {t e−2t sin 3t} c) L (9t…

A: Please see the attached images for the solution.If there are queries or if the images are not…

Q: Prove that the equality of the following trigonometric functions where using Euler identities. Then…

A: Here are the proofs that the equality e^iπ - 1 = 0 is not true.Proof using Python (NumPy):import…

Q: construct a programming-based version of the factorial function, and prove the time compexity

A: Factorial is the product of all the integers below a given number; for example, factorial four (4!)…

Q: Apply backtracking to the problem of finding a Hamiltonian circuit in the graph below:

A: Hamilton circuit, also called as Hamilton cycle forms a close loop by visiting each node exactly…

Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.